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Finding the Fourth Proportional to 73,824.70, 110,737.05 and 51,706.30

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Solution

The fourth proportional to 73,824.70, 110,737.05 and 51,706.30 is: 77,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824.70 : 110,737.05 = 51,706.30 : x
  2. Step 2: Convert to fraction form
    73,824.70/110,737.05 = 51,706.30/x
  3. Step 3: Cross multiply
    73,824.70x = 110,737.05 × 51,706.30
  4. Step 4: Simplify right side
    73,824.70x = 5,725,803,128.42
  5. Step 5: Solve for x
    x = 5,725,803,128.42/73,824.70
  6. Step 6: Final answer
    x = 77,559.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.